Can someone please tell me how to get from this equation to the standard form of an ellipse?

Step-by-step explanation:

15x² + 9y² = 30

Divide both sides by 30 and reduce.

15x²/30 + 9y²/30 = 1

x²/2 + 3y²/10 = 1

x²/2 + y²/(10/3) = 1

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

what is

step-by-step explanation: